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Finding the Fourth Proportional to 744.48, 1,116.41 and 257.27

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Solution

The fourth proportional to 744.48, 1,116.41 and 257.27 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.48 : 1,116.41 = 257.27 : x
  2. Step 2: Convert to fraction form
    744.48/1,116.41 = 257.27/x
  3. Step 3: Cross multiply
    744.48x = 1,116.41 × 257.27
  4. Step 4: Simplify right side
    744.48x = 287,211.93
  5. Step 5: Solve for x
    x = 287,211.93/744.48
  6. Step 6: Final answer
    x = 385.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.